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Circle action and some vanishing results on manifolds
circle action signature twisted signature operator rigidity
2011/1/19
Kawakubo and Uchida showed that, if a closed oriented 4k-dimensional manifold M admits a semi-free circle action such that the dimension of the fixed point set is less than 2k,then the signature of M ...
The aim of this paper is to extend the Morse theory for geodesics to the conical manifolds. In a previous paper [15] we de ned these manifolds as submanifolds of Rn with a nite number of conical sing...
The aim of this paper is to extend the definition of geodesics to conical manifolds, defined as submanifolds of Rn with a finite number of singu-larities.
Geometric Realizability of Covariant Derivative Kähler Tensors for almost Pseudo-Hermitian and almost Para-Hermitian Manifolds
Geometric Realizability Covariant Derivative Kä hler Tensors Pseudo-Hermitian
2011/2/25
The covariant derivative of the K¨ahler form of an almost pseudo-Hermitian or of an almost para-Hermitian manifold satisfies certain algebraic relations. We show, conversely, that any 3-tensor which s...
Global hypoellipticity of the Kohn-Laplacian $\Box_b$ on pseudoconvex CR manifolds
Global hypoellipticity Kohn-Laplacian $\Box_b$ pseudoconvex CR manifolds
2011/3/1
Let X be a complex manifold andM ⊂ X a compact, smooth, pseudoconvex CR manifold of dimension 2n − 1. (Here n ≥ 3 or, in case n = 2, it is made the extra assumption that ¯@b has close...
Gauge deformations for Hopf algebras with the dual Chevalley property
Hopf algebra dual Chevalley property cocycle twist dual quasi-Hopf algebra
2011/2/25
Let A be a Hopf algebra over a field K of characteristic zero such that its coradical H is a finite dimensional sub-Hopf algebra. Our main theorem shows that there is a gauge transformation on A suc...
Infinite dimensional manifolds from a new point of view
infinite dimensional manifolds de Rham theorem
2011/3/1
In this paper we propose a new treatment about infinite dimensional manifolds, using the language of category and functor. Our definition of infinite dimensional manifolds is a natural generalization ...
For a generic anti-canonical hypersurface in each smooth toric Fano 4−fold with rank 2 Picard group , we prove there exist three isolated rational curves in it . Moreover , for all these 4−...
Longitudinal pseudodifferential operators on multiply fibred manifolds
Longitudinal pseudodifferential operators multiply fibred manifolds
2011/1/20
Motivated by index theory on flag varieties, we prove a compactness theorem for products of longitudinal pseudodifferential operators on manifolds admitting multiple fibrations. Let X be a smooth mani...
Quadrature rules and distribution of points on manifolds
Quadrature discrepancy harmonic analysis
2011/2/28
We study the error in quadrature rules on a compact manifold, XN j=1 !jf (zj) − Z
M f(x)dx ≤ cD {zj} V {f} .
On stable compact minimal submanifolds
stability minimal submanifolds product spaces spheres
2011/1/18
Stable compact minimal submanifolds of the product of a sphere and any Riemannian manifold are classified whenever the dimension of the sphere is at least three. The complete classification of the sta...
Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation
manifold positive definite kernels least squares approximation Sobolev spaces
2011/2/24
This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting.
A simple Hamiltonian manifold is a closed connected symplectic manifold equipped with a Hamiltonian action of a torus T with moment map : M → t, such that MT has exactly two
connected components, ...
Symplectic generic complex structures on 4-manifolds with b_+ = 1
Symplectic generic complex structures 4-manifolds with b_+ = 1
2011/2/21
We study symplectic structures on K¨ahler surfaces with pg = 0. We give an example of a projective surface which admits a symplectic structure which is not compatible with any K¨ahler metric.
The twisting representation of the $L$-function of a curve
twisting representation $L$-function of a curve
2011/2/21
Let C be a smooth projective curve defined over a number field k and let C′ be a twist of C. For every isomorphism : C′! C defined over a finite Galois extension L/k, we introduce a rational Artin re...